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Atlas › Integer Profiles › Node 7,778,435

7,778,435

5 × 7 × 172 × 769
Deficient Odd Composite

7,778,435 factors as 5 × 7 × 17^2 × 769. Its 24 positive divisors give a proper-divisor sum of 3,568,285, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 5 × 7 × 17^2 × 769
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,346,720
Proper Divisor Sum 3,568,285
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7778431 ← → #7778447

Radix Representation

Decimal 7778435
Binary 11101101011000010000011 (23 bits)
Octal 0o35530203
Hexadecimal 0x76B083

Divisor Catalog (24)

1 5 7 17 35 85 119 289 595 769 1,445 2,023 3,845 5,383 10,115 13,073 26,915 65,365 91,511 222,241 457,555 1,111,205 1,555,687 7,778,435

Collatz Trajectory (217 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,778,435 23,335,306 11,667,653 35,002,960 17,501,480 8,750,740 4,375,370 2,187,685 6,563,056 3,281,528 1,640,764 820,382 410,191 1,230,574 615,287 1,845,862 922,931 2,768,794 1,384,397 4,153,192 2,076,596 1,038,298 519,149 1,557,448 778,724 389,362 194,681 584,044 292,022 146,011 438,034 219,017 657,052 328,526 164,263 492,790 246,395 739,186 369,593 1,108,780 554,390 277,195 831,586 415,793 1,247,380 623,690 311,845 935,536 467,768 233,884 116,942 58,471 175,414 87,707 263,122 131,561 394,684 197,342 98,671 296,014

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